FINITELY GENERATED INFINITE SIMPLE GROUPS OF INFINITE SQUARE WIDTH AND VANISHING STABLE COMMUTATOR LENGTH

被引：6
作者：
Muranov, Alexey [1 ]
机构：
[1] Univ Toulouse, Inst Math Toulouse, F-31062 Toulouse 9, France
来源：
JOURNAL OF TOPOLOGY AND ANALYSIS | 2010年 / 2卷 / 03期
关键词：
Small cancellations; simple group; stable commutator length; square length; homogeneous quasi-morphism; bounded cohomology; van Kampen diagram; KAC-MOODY GROUPS; DIAGRAMS; SURFACES;
D O I：
10.1142/S1793525310000380
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
It is shown that there exist finitely generated infinite simple groups of infinite commutator width and infinite square width on which there exists no stably unbounded conjugation-invariant norm, and in particular stable commutator length vanishes. Moreover, a recursive presentation of such a group with decidable word and conjugacy problems is constructed.
引用
收藏
页码：341 / 384
页数：44
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